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Finding the Fourth Proportional to 1,210.61, 1,816.17 and 430.67

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Solution

The fourth proportional to 1,210.61, 1,816.17 and 430.67 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.61 : 1,816.17 = 430.67 : x
  2. Step 2: Convert to fraction form
    1,210.61/1,816.17 = 430.67/x
  3. Step 3: Cross multiply
    1,210.61x = 1,816.17 × 430.67
  4. Step 4: Simplify right side
    1,210.61x = 782,160.85
  5. Step 5: Solve for x
    x = 782,160.85/1,210.61
  6. Step 6: Final answer
    x = 646.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.